3 papers
math.ST2026
Algebraic statistics of Hüsler-Reiss graphical models in multivariate extremes
Carlos Améndola, Jane Ivy Coons, Alexandros Grosdos +1
The field of extreme value statistics is concerned with modeling and predicting rare events. In a Hüsler-Reiss graphical model, a graph represents extremal conditional independence…
math.AG2025
Algebraic geometry of rational neural networks
Alexandros Grosdos, Elina Robeva, Maksym Zubkov
We study the expressivity of rational neural networks (RationalNets) through the lens of algebraic geometry. We consider rational functions that arise from a given RationalNet to b…
math.AG2025
Identifiability through special linear measurements
Fulvio Gesmundo, Alexandros Grosdos, André Uschmajew
We show that one can always identify a point on an algebraic variety uniquely with generic linear measurements taken themselves from a variety under minimal assumpt…